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Finding the Fourth Proportional to 579.92, 870.49 and 566.86

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Solution

The fourth proportional to 579.92, 870.49 and 566.86 is: 850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.92 : 870.49 = 566.86 : x
  2. Step 2: Convert to fraction form
    579.92/870.49 = 566.86/x
  3. Step 3: Cross multiply
    579.92x = 870.49 × 566.86
  4. Step 4: Simplify right side
    579.92x = 493,445.96
  5. Step 5: Solve for x
    x = 493,445.96/579.92
  6. Step 6: Final answer
    x = 850.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.